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Finding the Third Proportional to 362.75 and 583.94

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Solution

The third proportional to 362.75 and 583.94 is: 939.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.75 : 583.94 = 583.94 : x
  2. Step 2: Convert to fraction form
    362.75/583.94 = 583.94/x
  3. Step 3: Cross multiply
    362.75x = 583.94 × 583.94
  4. Step 4: Simplify right side
    362.75x = 340,983.00
  5. Step 5: Solve for x
    x = 340,983.00/362.75
  6. Step 6: Final answer
    x = 939.99

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.